#### Solution for 175 is what percent of 11.2:

175:11.2*100 =

(175*100):11.2 =

17500:11.2 = 1562.5

Now we have: 175 is what percent of 11.2 = 1562.5

Question: 175 is what percent of 11.2?

Percentage solution with steps:

Step 1: We make the assumption that 11.2 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={11.2}.

Step 4: In the same vein, {x\%}={175}.

Step 5: This gives us a pair of simple equations:

{100\%}={11.2}(1).

{x\%}={175}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{11.2}{175}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{175}{11.2}

\Rightarrow{x} = {1562.5\%}

Therefore, {175} is {1562.5\%} of {11.2}.

#### Solution for 11.2 is what percent of 175:

11.2:175*100 =

(11.2*100):175 =

1120:175 = 6.4

Now we have: 11.2 is what percent of 175 = 6.4

Question: 11.2 is what percent of 175?

Percentage solution with steps:

Step 1: We make the assumption that 175 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={175}.

Step 4: In the same vein, {x\%}={11.2}.

Step 5: This gives us a pair of simple equations:

{100\%}={175}(1).

{x\%}={11.2}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{175}{11.2}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{11.2}{175}

\Rightarrow{x} = {6.4\%}

Therefore, {11.2} is {6.4\%} of {175}.

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